6. Assume that heart rate (in beats per minute, or bpm) before an exam for STA 100 students is distributed nor mal, with a mean of 95 bpm and a standard deviation of 18.5 bpm. Assume all students in the following problem are selected from this population. (a) Find the probability that a randomly selected stu dents heart rate is above 110. (b) What is the probability that a randomly selected stu dent has a heart rate between 90 and 120? (c) What is the rst quartile of heartrates for randomly selected students? (d) What is the third quartile of heartrates for randomly selected students? (e) What is the 8th\" percentile for heart rates among ran domly selected students? (1') If we know a randomly selected students heart rate is over 100 (it is given), what is the probability that it is under 125